Stability analysis of nonlinear power electronic systems utilizing periodicity and introducing auxiliary state vector

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 52, Issue 1, 2005, Pages 168-178

  Dranga, Octavian ^a   Buti, Balázs ^b   Nagy, István ^b,c   Funato, Hirohito ^d  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^b BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

^c INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

^d UTSUNOMIYA UNIVERSITY   (Japan)

Author keywords

DC DC power conversion; Nonlinear systems; Stability; Variable structure systems

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FEEDBACK CONTROL; MATRIX ALGEBRA; NONLINEAR CONTROL SYSTEMS; PIECEWISE LINEAR TECHNIQUES; POWER CONVERTERS; SYSTEM STABILITY; VECTORS;

DC-DC POWER CONVERSION; JACOBIAN MATRIX; POINCARE MAP FUNCTION; VARIABLE STRUCTURE SYSTEMS;

POWER ELECTRONICS;

EID: 12944271880     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2004.840102     Document Type: Article

References (26)

1. S. Banerjee and G. C. Verghese, Nonlinear Phenomena in Power Electronics. Piscataway, NJ: IEEE Press, 2001.
2. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. New York: Springer-Verlag, 1992.
3. R. C. Hilborn, Chaos and Nonlinear Dynamics. New York: Oxford Univ. Press, 1994.
4. F. C. Moon, Chaotic and Fractal Dynamics. New York: Wiley, 1992.
5. E. Ott, Chaos in Dynamical Systems. Cambridge, U.K.: Cambridge Univ. Press, 1997.
6. M. A. Aizerman and F. R. Gantmakher, "Stability in the linear approximation of the periodic solution of a system of differential equations with discontinuous right-hand part" (in Russian), Prikl. Mat. Mekh., vol. 21, pp. 658-669, 1957.
7. A. F. Filippov, Differential Equations with Discontinuous Right-Hand Sides. Dordrecht, The Netherlands: Kluwer, 1988.
8. V. S. Baushev et al., "Local stability of periodic solutions in sample data control systems," in Automation and Remote Control. New York: Plenum, 1992, pt. 2, vol. 53, pp. 865-871.
9. Zh. T. Zhusubaliyev and E. Mosekilde, Bifurcations and Chaos in Piecewise-Smooth Dynamical Systems, Singapore: World Scientific, 2003.
10. L. Benadero et al., "Two-dimensional bifurcation diagrams. Background pattern of fundamental DC-DC converters with PWM control," Int. J. Bifurc. Chaos, vol. 13, pp. 427-451, 2003.
11. A. El Aroudi and R. Leyva, "Quasiperiodic route to chaos in a PWM voltage-controlled DC-DC boost converter," IEEE Trans. Circuits Syst. I, vol. 48, no. 8, pp. 967-978, Aug. 2001.
12. Y. Kuroc, "Computer algorithm to analyze stability of power electronic systems," in Proc. Power Conversion Conf., Osaka, Japan, Apr. 2-5, 2002, pp. 293-298.
13. O. Dranga et al., "Stability analysis of a feedback controlled resonant DC-DC converter," IEEE Trans. Ind. Electron., vol. 50, no. 1, pp. 141-152, Feb. 2003.
14. H. H. C. Iu and C. K. Tse, "Bifurcation behavior of parallel-connected buck converters," IEEE Trans. Circuits Syst., vol. 48, no. 2, pp. 233-240, Feb. 2001.
15. L. Benadero et al., "Bifurcations analysis in PWM regulated DC-DC converters using averaged models," in Proc. EPE-PEMC'02, Croatia, 2002, Available: [CDRom].
16. O. Woywode and H. Güldner, "Application of statistical analysis to DC-DC converters," in Proc. Int. Power Electron. Conf., IPEC 2000, Tokyo, Japan, Apr. 2000, pp. 90-94.
17. C.-C. Fang, "Exact orbital stability analysis of static and dynamic Ramp compensations in DC-DC converters," in Proc. ISIE'2001 Conf. vol. III, Pusan, Korea, 2001, pp. 2124-2129.
18. A. El Aroudi et al., "Quasiperiodic route to chaos in DC-DC switching regulators," in Proc. ISIE'2001 Conf., vol. III, Pusan, Korea, pp. 2130-2135.
19. J. L. R. Marrero et al., "Analysis of the chaotic regime for dc-dc converters under current mode control," in Proc. IEEE Power Electron. Specialists Conf., 1996, pp. 1477-1483.
20. D. Carton et al., "Self-similarity and chaos in a current mode PWM-bridge," in Proc. 6th Int. Conf. Electrimacs 99, vol. I, Lisboa, Portugal, Sept. 14-16, 1999, pp. 109-114.
21. W. C. Y. Chan and C. K. Tse, "Study of bifurcations in current-programmed DC-DC boost converters: From quasiperiodicity to périod doubling," IEEE Trans. Circuits Syst. I, vol. 44, no. 12, pp. 1129-1142, Dec. 1997.
22. J. H. Chen et al., "Experimental stabilization of chaos in a voltage-mode DC drive system," IEEE Trans. Circuits Syst. I, vol. 47, no. Jul., pp. 1093-1095, 2000.
23. I. Rácz, "Calculation of thyristor controlled electric machines with matrix calculus," in Proc. 1st Conf. Power Electron. Motion Control, PEMC'70, Budapest, Hungary, 1970, pp. 2.1.1-2.1.11.
24. M. Orabi and T. Ninomiya, "Analysis of PFC converter stability using energy balance theory," in Proc. IECON'03. Roanoke, VA, 2003, pp. 544-549.
25. O. Dranga and I. Nagy, "Stability analysis of feedback controlled resonant DC-DC converter using poincare map function," in Proc. ISIE vol. III, Pusan, Korea, Jun. 12-16, 2001, pp. 2142-2147.
26. J. Hamar and I. Nagy, "Asymmetrical operation of dual channel resonant DC-DC converters," IEEE Trans. Power Electron., vol. 18, no. 1, pp. 83-94, Jan. 2003.